Download Practice Exam #1

Practice Exam #1
1.) A recent poll was conducted online by CNN, with the results shown below. Use this
information to answer the following 4 questions.
Question: Should religious institutions be given U.S. taxpayer dollars to help fund their
charitable works?
Yes, these organizations are part of the solution to social problems and should be eligible
to get public money: 19157 votes
No, this would violate the separation of church and state in the United States: 28393
votes.
Question: What percentage of voters is in favor and is against supporting religious
institutions with taxpayer money? [Show your work]
2) Use the summary below to comment on the shape of the distribution of this variable.
Min
0.0180
1st . Qu.
0.1405
3rd Qu.
0.220
Median
0.3271
Mean
.0.3298
Max.
1.2670
3.) Some people worry about how many calories they consume. Consumer Reports
magazine, in a story on hot dogs, measured the calories in 20 brands of beef hot dogs, 17
brand of meat hot dogs, and 17 brands of poultry hot dogs. Here are the computer
outputs:
Hot dogs
Beef
Meat
Poultry
Min
111
107
87
Q1
140
139
102
M
152.5
153
129
Q3
178.5
179
143
Max
190
195
170
Make side-by-side boxplots of the calorie counts for the three types of hot dogs.
4.) Suppose you had the following two datasets:
Data Set I: 12 25 38 8 42
Data Set II: 19 32 45 15 49
a.) Calculate the mean and the standard deviation for each of these two data sets.
b.) Comment on the relationship between the two means and the two standard
deviations.
5.) The distribution of heights of young women aged 18 to 24 is approximately normal
with mean µ = 64.5 inches and standard deviation  = 2.5 inches. What proportion of all
young women are taller than 67 inches?
6.) Find proportion of observations from a standard normal distribution that falls in each
of the following regions
a.
b.
c.
d.
Z < 2.5
Z > 2.5
Z < -1.6
-1.6 < Z < 2.5
7.) In an experiment to determine if antibiotics increase the final dressed weight of cattle,
the following were measured on each animal in the study.
sex, initial weight, weight gain, grade of meat.
where grade is recorded as (A, B, or C). The scale of measurement of these
variable are:
a.
b.
c.
d.
e.
Nominal, ratio, interval, nominal
Nominal, ratio, ratio, nominal
Nominal, ratio, ratio, ordinal
Ordinal, ratio, ratio, ordinal
Ordinal, ratio, ratio, nominal
8.) In an aquaculture study, the following variables were measured on each fish:
sex, initial weight(g), body temperature (°C), weight gain(g).
The scale of these four variables (in order) are:
a.
b.
c.
d.
Nominal, ratio, ratio, ratio
Nominal, ratio, interval, interval
Ordinal, ratio, interval, ratio
Nominal, ratio, interval, ratio
e. Ordinal, interval, ratio, interval
9.) A study was conducted to investigate the effect of a coal-fire generating plant upon
the water quality of a river. As part of an environmental impact study, fish were captured,
tagged, and released. The following information was recorded for each fish:
sex(0=female, 1=male), length(cm), maturation (0=young, 1=adult),
weight(g).
The scale of these variables is:
a.
b.
c.
d.
e.
nominal, ratio, nominal, ratio
nominal, interval, ordinal, ratio
nominal, ratio, ordinal, ratio
ordinal, ratio, nominal, ratio
ordinal, interval, ordinal, ratio
10.) Which of the following are discrete and which are continuous?
a.
b.
c.
d.
e.
f.
Number of days each week that an individual goes to church (ratio)
Percentage of state population that is Hispanic (ratio)
Party of Governor (Republican, Democrat, Independent) (nominal)
Temperature (interval)
Size of drink (small, medium, large, biggie) (ordinal)
Weight of contestant (ratio)
11.) Fill in the following table and show your work.
Language test score
Valid
0-5
6-10
11-15
16-20
Total
Frequency
2
6
4
3
15
Percent
Cumulative
Percent
_
_
12.) Calculate the grouped mean of the following data.
Age Groupings
20-25
26-30
36-40
41-45
56-60
61-65
66-70
Total
Frequency
3
5
1
1
2
1
2
15
Midpoint
Freq*Mid